We derive general, yet simple, sharp bounds on the size of the omitted variable bias for a broad class of causal parameters that can be identified as linear functionals of the conditional expectation function of the outcome. Such functionals encompass many of the traditional targets of...

We use a panel survey of ~19,000 primary-school-aged children in rural Tamil Nadu to study 'learning loss' after COVID-19-induced school closures, and the pace of recovery after schools reopened. Students tested in December 2021 (18 months after school closures) displayed learning deficits of...

In this paper, we provide a suite of tools for empirical market design, including optimal nonlinear pricing in intensive-margin consumer demand, as well as a broad class of related adverse-selection models. Despite significant data limitations, we are able to derive informative bounds on demand...

This paper analyzes difference-in-differences designs with a continuous treatment. We show that treatment effect on the treated-type parameters can be identified under a generalized parallel trends assumption that is similar to the binary treatment setup. However, interpreting differences in...

This paper develops linear estimators for structural and causal parameters in nonparametric,nonseparable models using panel data. These models incorporate unobserved, time-varying, individual heterogeneity, which may be correlated with the regressors. Estimation is based on an approximation of...

We study the interpretation of regressions with multiple treatments and flexible controls. Such regressions are often used to analyze stratified randomized control trials with multiple intervention arms, to estimate value-added (for, e.g., teachers) with observational data, and to leverage the...

In low-income countries, educators often encourage weak primary students to drop out before reaching the end of primary school in order to avoid the negative attention they receive when their students perform poorly on primary leaving exams. We conducted an experiment in rural Uganda that sought...

This paper considers an unavoidable feature of the school environment, class rank. What are the long run effects of a student's ordinal rank in elementary school? Using administrative data from all public school students in Texas, we show that students with a higher third grade academic rank,...

Economists have long believed education is essential to the acquisition of human capital and contributes to economic growth. However, education researchers, political and business leaders and other stakeholders have raised concerns about the quality and costs of the K-12 education system in the...